Optimal Transport: Theory and Applications

The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory and Applications' held at the Fourier Institute in Grenoble. The event brought together mathematicians from pure and applied mathematics, astrophysics, economics and computer science. Part I of this book is devoted to introductory lecture notes accessible to graduate students, while Part II contains research papers. Together, they represent a valuable resource on both fundamental and advanced aspects of optimal transportation, its applications, and its interactions with analysis, geometry, PDE and probability, urban planning and economics. Topics covered include Ricci flow, the Euler equations, functional inequalities, curvature-dimension conditions, and traffic congestion.

Author: Yann Ollivier
Publisher: Cambridge University Press
Published: 08/07/2014
Pages: 316
Binding Type: Paperback
Weight: 1.05lbs
Size: 9.00h x 6.10w x 0.70d
ISBN: 9781107689497

About the Author
Villani, Cedric: - Cedric Villani is the director of the Institut Henri Poincaré, Paris, and a professor at the University of Lyon. He is the author of two books on optimal transport, and was awarded the Fields medal at the 2010 International Congress of Mathematicians in Hyderabad. He often serves as a spokesman for the French mathematical community.Ollivier, Yann: - Hervé Pajot has been a full professor at the Fourier Institute (University of Grenoble) since 2003. He is the author of Analytic Capacity, Rectifiability, Menger Curvature and the Cauchy Integral, considered a standard reference in the subject. He is currently chief editor of the Annales de l'Institut Fourier.Pajot, Hervé: - Yann Ollivier is a research scientist at the CNRS, Paris-Sud (Saclay) University, France. His research focusses on various areas of pure and applied mathematics, always featuring a strong interaction between geometric and probabilistic aspects, such as the geometry of random groups, the curvature of Markov chains on metric spaces, statistical viewpoints on general relativity, or the mathematics of artificial intelligence. He is the recipient of several prizes, including the Bronze Medal of the CNRS.